![]() Using Theorem 6.2 : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to third side. Angle-Angle Similarity states that if two corresponding angles in a triangle are congruent (equal) then their corresponding sides are in the same ratio and hence the two triangles are similar. Such that DP = AB and DQ = AC respectively Given: Two triangles ∆ABC and ∆DEF such that ![]() ![]() to two sides of another triangle and their. Next, compare the ratios of the lengths of the sides that include A and F. A similarity transformation is one or more rigid transformations followed by a dilation. The Side-Angle-Side Similarity (SAS ) Theorem states that if two sides of one triangle are. 2 EXAMPLE 3 Use the SAS Similarity Theorem Both m A and m F equal 53, so A F. Theorem 6.5 (SAS Criteria) If one angle of a triangle is equal to one angle of the other triangle and sides including these angles are proportional then the triangles are similar. SAS similarity theorem- if an angle of one triangle is congruent to an angle of a seond triangle and the lengths of the sides including these angles are. The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar. ![]()
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